Ever moved a couch into an apartment with a small and/or winding staircase? It's a huge pain in the ass, and a couple years ago when I moved 3 times in a short period I really wanted to find a better way.
My idea is to use 3d scanning to help you move, using something like Google's project Tango. You scan your couch, bed, or table and the area you want need to move it through. Then it could algorithmically find the easiest path to move it and it shows you directions, so you and your moving partner know exactly how/when to rotate, turn, etc.
I'm sure it's possible because my mechanical engineering friends have software to do something similar for their robotic arms on the assembly line. I think this idea is really cool and hard to make profitable :)